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nlin.SI2007★ 3 cited
Effective inverse spectral problem for rational Lax matrices and applications
Marco Bertola, Mikael Gekhtman
We reconstruct a rational Lax matrix of size R+1 from its spectral curve (the desingularization of the characteristic polynomial) and some additional data. Using a twisted Cauchy--…
nlin.SI2001
Duality of spectral curves arising in two-matrix models
M. Bertola, B. Eynard, J. Harnad
The two matrix model is considered, with measure given by the exponential of a sum of polynomials in two different variables. It is shown how to derive a sequence of pairs of ``dua…